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Finding the Third Proportional to 83,926.13 and 197,893.13

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Solution

The third proportional to 83,926.13 and 197,893.13 is: 466,620.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,926.13 : 197,893.13 = 197,893.13 : x
  2. Step 2: Convert to fraction form
    83,926.13/197,893.13 = 197,893.13/x
  3. Step 3: Cross multiply
    83,926.13x = 197,893.13 × 197,893.13
  4. Step 4: Simplify right side
    83,926.13x = 39,161,688,922.27
  5. Step 5: Solve for x
    x = 39,161,688,922.27/83,926.13
  6. Step 6: Final answer
    x = 466,620.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.